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EMS Reference question N°021 Bisectors

Proposed by Phillippe Richard in "Reference levels in mathematics in Europe at age16" EMS Reference question N°021 Bisectors: Michel wants to draw a triangle of which the bisectors of angles B and C are perpendicular. Can he succeed ?

LocusEquation for the vertex C in a triangle ABC such that bisectors at A and B are perpendicular

Proposed by Phillippe Richard in "Reference levels in mathematics in Europe at age16" EMS Reference question N°021 Bisectors: Michel wants to draw a triangle of which the bisectors of angles B and C are perpendicular. Can he succeed ?